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Finding the Fourth Proportional to 10,749.93, 14,838 and 6,501

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Solution

The fourth proportional to 10,749.93, 14,838 and 6,501 is: 8,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.93 : 14,838 = 6,501 : x
  2. Step 2: Convert to fraction form
    10,749.93/14,838 = 6,501/x
  3. Step 3: Cross multiply
    10,749.93x = 14,838 × 6,501
  4. Step 4: Simplify right side
    10,749.93x = 96,461,838
  5. Step 5: Solve for x
    x = 96,461,838/10,749.93
  6. Step 6: Final answer
    x = 8,973.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.